Answer:
x = 24
Step-by-step explanation:
In a radical equation it is critical to start by isolating the root that contains the unknown on one side of the equal sign, so we do such by adding 3 to both sides:
[tex]\sqrt{x-8} -3 = 1\\\sqrt{x-8} -3+3 = 1+3\\\sqrt{x-8} = 4[/tex]
Next we square both sides of the equation to free the unlnown from the square root:
[tex](\sqrt{x-8})^2 = (4)^2\\x-8=16\\x=16+8\\x=24[/tex]
We found x by adding 8 on both sides. Therefore x=24.
One can check the answer by replacing x by 24 in the original equation.
